Answer:
1. 1509
2 2674
3 6329.8
Step-by-step explanation:
hope it helped
The ordered pair in roaster form {(2,8), (3, 12), (4, 16), (5, 20)} is a function.
<h3>What is the domain and range of a function?</h3>
Suppose we have an ordered pair (x, y) then the domain of the function is the set of values of x and the range is the set of values of y for which x is defined.
We know a function can be many one which means different inputs leads to same output but one to many is not a function as same input can not lead to different outputs.
{(2,8), (3, 12), (4, 16), (5, 20)} is a function as each different input leads to a different output.
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Answer:
One
Step-by-step explanation:
First, we need to check a triangle with these sides <em>is</em> possible. Since 4 plus 5 is 9, and 9 is less than 10, we can make a triangle with these sides.
To answer the question, we can only make one unique triangle. Why? They give us three lengths and a triangle has three sides.
<em>However</em>, if they are counting a triangle in different positions the answer will be greater. Since it would just be the same triangle, I am going with the answer of only one.
Answer:
V = (4/3)π(4)³ = four-thirds pi (4) cubed.
Step-by-step explanation:
The volume of a sphere is given by the equation ;
Volume; V = (4/3)πr³
Where r is radius.
Now, we are told that the radius has a value of; r = 4 in
Thus, plugging it into the volume equation, we have;
V = (4/3)π(4)³
Looking at the options given in the question, the correct answer is;
V = four-thirds pi (4) cubed
If you plot these points on a coordinate plane, you see that both vertices and foci lie on the y axis. This means that you have a vertical hyperbola, and the equation looks like this:
where h and k are the center. When you look at your graph, the origin is dead center between the vertices. (0, 0) is our h and k. Now we need a, b, and c. a is the distance between the center and the vertices, so our a = 4, and c is the distance between the center and the foci, so our c = 5. Use these in Pythagorean's Theorem to solve for b:
and
and b = 3. So we have all we need to do is replace all the variables. Our equation then would be this one:
or, simplified,